COURSE CODE: CHM 406 COURSE TITLE: NUCLEAR AND RADIOCHEMISTRY

NATIONAL OPEN UNIVERSITY OF NIGERIA
SCHOOL OF SCIENCE AND TECHNOLOGY
COURSE CODE: CHM 406
COURSE TITLE: NUCLEAR AND RADIOCHEMISTRY
32
CHM 406
MODULE 3
COURSE
GUIDE
CHM 406
NUCLEAR AND RADIOCHEMISTRY
Course Team
Dr. A. A. Kasali and A. O. Majolagbe (Course
Writers/Developers) – Lagos State University, Ojo
Dr. (Mrs.) Tolu Fasina (Course Editor) – UNILAG
Dr.
Abimbola
Ogunsipe
(Course
Coordinator/Programme Leader) – NOUN
NATIONAL OPEN UNIVERSITY OF NIGERIA
33
National Open University of Nigeria
Headquarters
14/16 Ahmadu Bello Way
Victoria Island, Lagos
Abuja office
NOUN Building
5 Dar es Salaam Street
Off Aminu Kano Crescent
Wuse II, Abuja
e-mail: [email protected]
URL: www.nou.edu.ng
Published by
National Open University of Nigeria
Printed 2013
ISBN: 978-058-004-2
All Rights Reserved
34
CHM 406
MODULE 3
CONTENTS
PAGE
Introduction…………………………………………………...
What You will Learn in this Course...........................................
Course Aim………………………………………………........
Course Objectives……………………………………………..
Working through this Course......................................................
The Course Materials…………………………………………
Study Units……………………………………………………
Presentation Schedule.................................................................
Assessment ……………………………………........................
Tutor-Marked Assignment……………………………………
Final Examination and Grading………………………………
Course Marking Scheme.............................................................
Facilitators/Tutors and Tutorials.................................................
Summary………………………………………………………
iv
iv
iv
v
v
vi
vi
vii
vii
vii
viii
viii
viii
ix
35
INTRODUCTION
Nuclear and Radiochemistry is a second semester course. It is a twocredit unit course to be taking by all students offering Bachelor of
Science chemistry.
Nuclear and Radiochemistry is specialised branch of chemistry that
helps to shape the orientation of chemist and analyst to be able to
qualitatively and quantitatively analyse radiation from radioactive
samples.
Its application varies extensive and covers large number of sources of
radiations ranging from homes, food, water, and air. The application of
this knowledge in various human endeavours such as forensic research,
archaeological studies, agriculture, medicine history, and other scientific
research make this course highly important.
The level of investigating analysis has also progress in terms of volume
from radiation equivalent in man (rem) to milli-radiation equivalent in
man (mrem).
The course will definitely instil in you, the need not ignore even the
smallest thing or substance in the environment.
WHAT YOU WILL LEARN IN COURSE
The course consists of study units and course guide. The course guide
tells briefly what the course is all about and how the full understanding
to be acquired.
It gives you guidance in respect of your tutor-workers assignment which
will be made available in the assignment file .There will be a regular
session that are related to the course.
It is advisable for you to attend these tutorial sessions. Various
challenges you will meet in this field of analytical chemistry are
passionately reviewed during these sessions
COURSE AIMS
The course aims at providing you an in depth but introductory
understanding to analytical chemistry, thereby enhancing your correct
perception of analytical or environmental materials.
36
CHM 406
MODULE 3
COURSE OBJECTIVES
To achieve these aims stated above, the course has a set of objectives.
Each study unit also has specific objectives which are included at the
beginning of each unit.
You may wish to refer to them during your study to check on your
progress. You should always correlate what your understanding is with
the study unit objectives. By doing so you would have followed the
instruction in the unit. When you go over and over the course materials
with the instruction therein, you would be able to achieve the aims and
the sets of objectives for the course within the stipulate time. Thus after
going through this book you should be able to


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

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



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


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
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Understand the general concept of radioactivity
Know types of radioactivity
Know various form of electromagnetic radiations that are emitted
Differentiate between ordinary chemical reactions and nuclear
reactions
describe what decay mode and energy are
tell what is meant by fission and fusion
calculate the half-life of any disintegration
Understand general concept nuclear model
Describe the principle upon which the models are built
Explain collective nuclei model
Describe the unified model for defining model
Describe the mass-energy relationship when particles and nucleus
interact
Understand various conservation laws as they affect the nuclear
reactions.
Describe the forms of energy in the three main stages of nuclear
reaction
explain the principle underlying the measurement of radiation
know various methods and instrument used in measuring
radioactivity
know limitation of those methods used in measuring radioactivity
Know the applications of radioactivity in various human
endeavour
Describe about various sources of radiation exposure
Know about the relationship before radiation and health condition
Know about management of hazardous nuclear waste
Understand the ways of protection from radiation exposure.
37
WORKING THROUGH THE COURSE
To benefit maximally from this course, you are required to read each
unit very well, read the text books and other materials, as recommended
at end of each unit and any other materials that may be provided by the
National Open University of Nigeria.
Each unit contains self-assessment exercises and at certain points in the
course you would be required to submit assignments for assessment
purposes. At the end of the course, there is final examination. The
course should take you a total of 17 weeks to complete. Below you will
find listed all the components of the course, what you have to do and
how you should allocate your time to each unit in order to complete the
course on time and successfully.
This course entails that you spend a lot of time to read. I would advise
that you avail yourself the opportunity of attending the tutorial sessions
where you have the opportunity of comparing your knowledge with that
of other learners.
THE COURSE MATERIALS
The main components of the course materials are:
1.
2.
3.
4.
5.
The Course Guide
Study Unit
References/Further Reading
Assignments
Presentation Schedule.
STUDY UNITS
The study units in this course are as follow:
Module 1
Unit 1
Unit 2
Natural Radioactivity
Radioactive Decay Processes and Nature of Radioactivity
Module 2
Unit 1
Unit 2
38
Nuclear Models
Energetic of Nuclear Radiation
CHM 406
MODULE 3
Module 3
Unit 1
Unit 2
Unit 3
Principle and Measurement of Radioactivity
Application of Radioactivity
Radiation Hazards
PRESENTATION SCHEDULE
Your course materials have important dates for the completion and
submission of your TMAs and attending tutorials. You should remember
that you are required to submit all your assignments by the stipulated
time and date. You should guard against falling behind in your work.
ASSESSMENT
There are three aspects to the assessment of the course. First is made up
of self-assessment exercises, second consists of the tutor-marked
assignments and third is the written examination/end of course
examination.
You are advised to do the exercises. In tackling the assignments, you are
expected to apply information, knowledge and techniques you gathered
during the course. The assignments must be submitted to your facilitator
for formal assessment in accordance with the deadlines stated in the
presentation schedule and the assignment file. The work you submit to
your tutor for assessment will count for 30% of your total course work.
At the end of the course you will need to sit for a final or end of course
examination of about three hour duration. This examination will count
for 70% of your total course mark.
TUTOR-MARKED ASSIGNMENT
The TMA is a continuous assessment component of your course. It
accounts for 30% of the total score. You will be given four (4) TMAs
to answer. Three of these must be answered before you are allowed to sit
for the end of course examination. The TMAs would be given to you by
your facilitator and returned after you have done the assignment.
Assignment questions for the units in this course are contained in the
assignment file. You will be able to complete your reading, references
and study units. However, it is desirable in all degree level of education
to demonstrate that you have read and researched more into your
references, which will give you a wider view point and may provide you
with a deeper understanding of the subject.
39
Make sure that each assignment reaches your facilitator on or before the
deadline given in the presentation schedule and assignment file. If for
any reason you cannot complete your work on time, contact your
facilitator before the assignment is due to discuss the possibility of an
extension. Extension will not be granted after the due date unless there
are exceptional circumstances.
FINAL EXAMINATION AND GRADING
The end of course examination for Analytical chemistry 1 will be for
about 3 hours and it has a value of 70% of the total course work. The
examination will consist of questions, which will reflect the type of selftesting, practice exercise and tutor-marked assignment problems you
have previously encountered. All areas of the course will be assessed.
Use the time you have between finishing the last unit and sitting for the
examination to revise the whole course. You might find it useful to
review your self-test, TMAs and comments on them before the
examination. The end of course examination covers information from all
parts of the course.
COURSE MARKING SCHEME
Assignment
Assignment 1 – 4
End
of
examination
Total
Marks
Four assignments, best three marks of the four
count at 10% each – 30% of course marks.
course 70% of overall course marks.
100% of course materials.
FACILITATORS/TUTORS AND TUTORIALS
There are 16 hours of tutorials provided in support of this course. You
will be notified of the dates, times and location of these tutorials as well
as the name and phone number of your facilitator, as soon as you are
allocated a tutorial group.
Your facilitator will mark and comment on your assignments, keep a
close watch on your progress and any difficulties you might face and
provide assistance to you during the course. You are expected to mail
your Tutor Marked Assignment to your facilitator before the schedule
date (at least two working days are required). They will be marked by
your tutor and returned to you as soon as possible.
Do not delay to contact your facilitator by telephone or e-mail if you
need assistance.
40
CHM 406
MODULE 3
The following might be circumstances in which you would find
assistance necessary, hence, you would have to contact your facilitator
if:



You do not understand any part of the study or the assigned
readings.
You have difficulty with the Self-Assessment Exercise.
You have a question or problem with an assignment or with the
grading of an assignment.
You should endeavour to attend the tutorials. This is the only chance to
have face to face contact with your course facilitator and to ask
questions which are answered instantly. You can raise any problem
encountered in the course of your study.
To gain much benefit from course tutorials prepare a question list before
attending them. You will learn a lot from participating actively in
discussions.
SUMMARY
Nuclear and Radiochemistry is a course that intends to provide concise
introduction to a specialised area of chemistry (Nuclear and
Radiochemistry). The course study units are well structured and
supported by eyes opening questions. No doubt, this is a best beginning
into the world of analytical chemistry.
Upon completing this course, you will be equipped with the needed
basic concept and principle to give you good foundation to this
investigating chemistry.
You should endeavour to read very well, ruminate over what you’ve
read, go through the self-assessment question and TMA provided in
each study unit. You will definitely appreciate this course.
Wish you success in your studies.
41
MAIN
COURSE
CONTENTS
PAGE
Module 1
Fundamental Concept of Radio Activity...............
1
Unit 1
Unit 2
Natural Radioactivity.................................................
Radioactive Decay Processes and Nature of
Radioactivity..............................................................
1
Module 2
9
Nuclear Models and Energetic of
Nuclear Reaction.....................................................
20
Unit 1
Unit 2
Nuclear models.........………………………………
Energetic of Nuclear Radiation....………………....
20
26
Module 3
Research Proposals………………………………
32
Unit 1
Unit 2
Unit 3
Principles and Measurement of Radioactivity..........
Application of Radioactivity................................…..
Radiation Hazards................................................…..
32
38
43
42
CHM 406
MODULE 3
MODULE 1
FUNDAMENTAL CONCEPT OF RADIO
ACTIVITY
Unit 1
Unit 2
Natural Radioactivity
Radioactive Decay Processes and Nature of Radioactivity
UNIT 1
NATURAL RADIOACTIVITY
CONTENTS
1.0
2.0
3.0
4.0
5.0
6.0
7.0
Introduction
Objectives
Main Content
3.1
Radioactive: Natural and Artificial
3.2
Neutron - Proton Ratio and Nuclear Stability
3.3
Particles Emission and Position of Stable Region
3.3.1 Above the Band of Stability: Neutron–Rich Region
3.3.2 Below the Band of Stability: Neutron–Poor Region
3.3.3 Nuclei with Atomic Number Greater than 83
3.3.4 Gamma Ray Emission
Conclusion
Summary
Tutor-Marked Assignment
References/Further Reading
1.0
INTRODUCTION
Radioactivity is a phenomenon in which some elements emit small
particles called radiation, to form another element. This is in contrast to
the accepted Dalton postulate of indestructibility of an atom. However,
only elements with unstable nuclei known as radioactive are capable of
undergoing natural radioactivity while stable nuclei do not. All elements
having atomic number greater than 83 are radioactive and they undergo
nuclear transmutation (nuclear reaction) which differ significantly from
ordinary chemical reactions.
The knowledge of radioactivity has contributed immensely to medicine,
archeology, scientific research, industry, engineering and agriculture.
2.0
OBJECTIVES
At the end of this unit, you should be able to:


define radioactivity and terms used in radioactivity
state the types of radioactive reactions
43


discuss the types of electromagnetic radiations that are emitted
differentiate between ordinary chemical reactions and nuclear
reactions.
3.0
MAIN CONTENT
3.1
Radioactivity: Natural and Artificial
With exception of hydrogen (11H), every atom of an element has a
nucleus which consists of neutrons and protons, with electrons
occupying important empty space around the nucleus. The nucleus is a
minute fraction of total volume of atom, yet nearly all the mass of an
atom resides in the nucleus. Thus, nuclei are extremely dense. It has
been shown experimentally that nucleus of all elements has
approximately the same density of 2.4 x 1014 g/cm3. Table 1.0 shows the
general properties of basic components of an element.
Table 1.0: Basic Constituents of an Atomic Element
Particle
Electron (e-)
Proton (P)
Neutron (n)
Mass
0.00054858 amu
1.0073 amu
1.0087 amu
Charge
-1
+1
None
The ratio of number of neutron to proton in any nucleus confirms the
stability of the nucleus and also influence nuclear reaction is called
neutron – proton ratio.
The neutron – proton ratio of an element dictates which if element will
naturally undergoes radioactivity or not.
3.2 Neutron - Proton Ratio and Nuclear Stability
The principal factor that determines stability of nucleus is the neutron –
proton ratio (n/p). A nucleus is said to be stable if it does not undergo
radioactivity. About 275 different nuclei have no evidence of radioactive
decay, hence they are very stable. 157 nuclides out of it have even
number of proton and even number of neutron (even – even nuclei), 52
nuclides have even number of proton and odd number neutron. 50
nuclides have odd number of protons and even number of neutron while
only four nuclides have odd number of both proton and neutrons. These
are presented in Table 2.0
44
CHM 406
MODULE 3
Table 2.0: Abundance of naturally occurring Nuclides
Number of particles Even/ Odd
Odd
Number of protons Even
Number of neutrons Even
Number of such nuclides
Even/ Odd
Even/ Odd
Even/
Even
Odd
157
Odd
Even
50
Odd
Odd
52 4
The following are rules that guide the prediction of nuclear stability:
Nuclides with “Magic number” (2, 8, 20, 28, 50, 126) of protons
or a number of neutrons or a sum of the two have unusual
stability.
(ii) Nuclei with even number of both protons and neutrons are
generally more stable than those with odd numbers of these
particles (Table 2.0).
(iii) All isotopes of the elements with atomic numbers higher than 83
are radioactive.
(i)
Figure 1.1 is a plot of the number of neutrons (N) versus number of
protons (Z) for the stable nuclides (the band of stability). For low
atomic numbers, the most stable nuclides have equal numbers of protons
and neutrons (N _ Z). Above atomic number 20, the most stable nuclides
have more neutrons than protons. Careful examination reveals an
approximately stepwise shape to the plot due to the stability of nuclides
with even numbers of nucleons.
1.2
Band of Stability
1
Neutron Rich
Nuclei
Number of neutrons
0.8
0.6
0.4
Neutron poor
Nuclei
0.2
0
Number of proton
Fig. 1.1:
A Plot of the Number of Neutrons (N) versus Number
of Protons (Z) for the Stable Nuclides (the Band of
Stability)
Nuclei whose neutron – to - proton (n/p) ratios lies outside the stable
region undergoes spontaneous radioactive decay by emitting one or
45
more particles and /or electromagnetic rays. Depending on whether the
nucleus is above, below or to the right of the band of stability (Figure
1.1), it emits various types of particles discussed in 3.2 in a nuclear
reaction. Note that in a nuclear reaction, changes of one particle to
another occur in a pattern that shows that nuclear reaction differs from
ordinary chemical reaction as summarised in Table 3.0.
Table 3.0: Comparison of Chemical Reactions and Nuclear
Reactions
1
2
3
4
Chemical Reactions
Nuclear Reactions
Atoms are rearranged by the Elements (or isotopes of the
breaking and forming of same elements) are converted
chemical bonds.
from one to another.
Only electrons in atomic or
molecular orbital are involved
in the breaking and forming of
bonds.
Reactions are accompanied by
Absorption or release of
relatively small amounts of
energy.
Rates of reaction are influenced
by
temperature,
pressure,
concentration, and catalysts.
Protons, neutrons, electrons, and
other elementary particles may
be involved.
Reactions are accompanied by
absorption
or
release
of
tremendous amounts of energy.
Rates of reaction normally are
not affected by temperature,
pressure, and catalysts.
Both chemical and nuclear reactions are depicted by a complete
chemical equation. However, two major rules guide writing the chemical
equation of nuclear reaction:
(i)
The sum of the mass numbers of the reactants must be equal the
sum of mass number of the products
(ii) The sum of atomic number of the reactions must be equal to the
atomic number of the products, this maintain charge balance.
3.3 Types of Radioactivity
Some nuclei are unstable; hence they emit sub-atomic particles or
electromagnetic radiation in a phenomenon known as radioactivity.
Radioactivity can be of two types namely, natural and artificial
radioactivity.
Natural Radioactivity: This is a type of radioactivity that occurs
spontaneously, emitting electromagnetic radiation and particles which
46
CHM 406
MODULE 3
include beta, positron and alpha particles. The occurrence of this type of
decay or emission occurs, depends on the position of nuclei whether
above, below or sides of the stability/belt region. Most naturally
radioactive nuclei lie outside this belt.
Artificial radioactivity: It is a non-spontaneous form of radioactivity
which requires effect of bombardment of the nuclei with sub-atomic
particles. It is otherwise known as anthropogenic or induced
radioactivity.
Juliot and his wife, Irene Curie discovered artificial radioactivity in 1934
in which aluminum nuclei is bombarded with He nuclei to form new
element with emission of electromagnetic ray or particles:
4
2
3.3
He

27
13

Al
30
14
P 11 n
Particles Emission and Position of Stable Region
3.3.1 Above the Band of Stability: Neutron–Rich Region
The nuclei in this region have a very high ratio of neutron to protons
than those within the belt. To reduce this ratio and move down toward
the belt of stability, they undergo a nuclear reaction called Beta particle
emission. A beta particle is an electron ejected from the nucleus when a
neutron is converted into a proton
1
o
n  11 p 
0
1

Beta particle emission leads to an increase in the number of proton in the
nucleus and a simultaneous decrease in the number of neutrons.
Classical examples:
i
ii
iii
228
88
97
40
40
19
Ra

Zr

K

228
89
97
41
40
20

Ac
Nb

Ca

0
1



0
1
0
1
3.3.2 Below the Band of Stability: Neutron–Poor Region
The nuclei here have lower neutron – to – proton ratios than those within
the band therefore they need to increase this ratio and thereafter move
up toward the belt of stability. The nuclei undergo two possible types of
nuclear reaction; positron emission or electron capture (K capture).
47
(a)
Position emission: It is most commonly encountered with
artificially radioactive nuclei of the higher element.
Classical examples are:
i
i
38
19
ii
(b)

P
i
1
0

K

n
38
18
Ar
0
1


0
1

Electron captures (K capture): Is a capture of an electron usually
a 1s electron by the nucleus. The captured electron combines with
a proton to form a neutron so that the atomic number decreases by
one while the mass number remain the same; hence it has the same
net effect as positron emission.
Classical examples:
37
18
Ar 
106
47

0
1
e
Ar 
37
17

0
1
e
106
46
Cl
Pd
It is important to note that some of the neutrons – poor nuclei,
particularly the heavier ones, increase their neutron-to-proton ratios by
undergoing alpha emission. An alpha particle is emitted from nucleus
thereby reducing the mass number by 4 and atomic nunmber by 2.
Examples

238
92
U
34
90
Thi

4
2
He
3.3.3 Nuclei with Atomic Number Greater than 83
All elements with atomic numbers higher than 83, are radioactive in
nature. They undergo a nuclear reaction by emitting alpha particles (  )
Classical examples are:
226
88
210
84
48
Ra

Po

222
84
201
84
e 
Pb 
4
2

4
2

CHM 406
3.3.4
MODULE 3
Gamma Ray Emission
Gamma rays are high energy radiation, emitted when an unstable
nucleus undergoes a rearrangement of its constituent particle to give
more stable, lower energy nucleus. Gamma rays are often emitted along
with other type of subatomic particles.
99
43
Tc

Tc 
99
43
0
0

Note that pure gamma emitters are rare, but rather, the radiation gamma
accompany either alpha or beta radiation.
SELF-ASSESSMENT EXERCISE
(i)
(ii)
(iii)
(iv)
4.0
What do you understand by the term radioactivity?
Explain the concept of neutron –to-proton ratio.
What are subatomic particles that are emitted in nuclear reaction?
Differentiate between natural and induced radioactivity.
CONCLUSION
Radioactivity is indeed a phenomenon in which electromagnetic
radiation or sub-atomic particles are emitted by a nuclear reaction so as
to achieve or enter stability belt. Radioactivity is of importance in
medicine, agriculture and industries.
5.0
SUMMARY
In this unit, you have learnt about:
(i)
(ii)
(iii)
(iv)
(v)
the meaning of radioactivity
the differences between nuclear and ordinary chemical reaction
how to balance a chemical nuclear reaction
the rules that guide in predicting stability of a nucleus
various forms of emission nuclei can undergo during nuclear
reaction
(vi) differences between natural and artificial radioactivity.
6.0
i.
ii.
TUTOR-MARKED ASSIGNMENT
Differentiate between nuclear and ordinary chemical reactions.
Naturally occurring iodine is iodine – 127. In medicine,
radioactive isotopes of iodine used are I - 125 and I- 130. Write
atomic symbol for each isotope.
49
iii.
iv
7.0
Identify the symbol X in each of the following:
(a) 01 X (b) 42 X
(c) 10 X
[d] 11 X
(e) 01 X
Write short notes on various sub-atomic particles that can be
emitted by nuclei in the following condition so as to enter stability
belt
(a) Above the stability region
(b) Below the stability region.
REFERENCES/FURTHER READING
Timberlake, K. & Timberlaka, W. (2008). Basic Chemistry. Boston:
Pearson Educational Inc. Pp. 524 – 538.
Choppin, G. R, Liljenzen, J. & Rydbers, J. (2002). Radiochemistry and
Nuclear Chemistry. Woburn: Butterworth- Heinemann. Pp. 1 – 10.
May, J. (1989). The Greepeace Book of Nuclear Age. London: Victor
Golanoz Ltd.
50
CHM 406
UNIT 2
MODULE 3
RADIOACTIVE DECAY PROCESSES
NATURE OF RADIOACTIVITY
AND
CONTENTS
1.0 Introduction
2.0 Objectives
3.0 Main Content
3.1 Radioactive Decay
3.2 Kinetics of Radioactive Decay
3.3 Decay Mode and Energy
3.3.1 Alpha Decay
3.3.2 Beta Decay
3.3.3
Position Decay
3.3.4
Gamma Ray Emission
3.4 Chain Reaction
3.4.1 Nuclear Fission
3.4.2
Nuclear Fusion
3.5
Nuclear Fusion Reactor
3.6
Nature of Radiation
4.0 Conclusion
5.0 Summary
6.0 Tutor-Marked Assignment
7.0 References/Further Reading
1.0 INTRODUCTION
Radioactive decay is the process by which the atomic nucleus of an
unstable atom loses energy by emitting ionising particles or
electromagnetic radiation. The emission is spontaneous, in that the atom
decays without any physical interaction with another particle from
outside the atom. Usually, radioactive decay happens due to a process
confined to the nucleus of the unstable atom. Many nuclei are
radioactive. This means they are unstable, and will eventually decay by
emitting a particle, transforming the nucleus into another nucleus, or
into a lower energy state. A chain of decays takes place until a stable
nucleus is reached.
2.0 OBJECTIVES
At the end of this unit, you should be able to:




explain the meaning of radioactive decay
describe decay mode and decay energy
explain the meaning of fission and fusion
calculate the half life of any radioactive disintegration.
51
3.0 MAIN CONTENT
3.1 Radioactive Decay
Radioactive decay can simply be defined as a spontaneous nuclear
transmutation or transformation of unstable nuclei that exist outside in
the formation of stable isotope. The decay process is unaffected by
pressure, temperature, chemical forms of the elements. The decay, or
loss of energy, results when an atom with one type of nucleus, called the
parent radionuclide, transforms to an atom with a nucleus in a different
state, or an entirely different nucleus, either of which is named the
daughter nuclide. Often the parent and daughter are of different
chemical elements. An example of this, a carbon-14 atom (the "parent")
emits radiation (a beta particle and a gamma ray) and transforms to a
nitrogen-14 atom (the "daughter").The daughter nuclide of a decay event
may also be unstable (radioactive). In this case, it will also decay,
producing radiation. The resulting second daughter nuclide may also be
radioactive. This can lead to a sequence of several decay events,
phenomenon known as decay chain . During radioactive decay,
principles of conservation apply. Some of these laws are as follows:

conservation of energy
conservation of momentum (linear and angular)
conservation of charge
conservation of nucleon number.



The type of decay that occurs depends on the position of the nuclei
undergoing the decay and consequently the type of radiation that
accompanies the process. Hence, the decay process is characterised by
the decay period, mode and the energy without regards to either physical
or chemical conditions.
3.2 Kinetics of Radioactive Decay
The particles emitted are of different kinetics or kinetic energies. All
radioactive decays obey first – order kinetics therefore rate of decay at
time (t) =  N
Where  is the first order rate constant
N is the number of nuclei
Note: N at time zero is (No) and at time t is Nt
Rate of decay = K (N) as
 No 
 = a  t
 N 
(Ln 
52
CHM 406
MODULE 3
Also note that: Each atom decay independently of the other, therefore
stochiometrically a = 1
 No 
 =  t
 N 
Ln 
Therefore,
In nuclear chemistry, decay rate is usually expressed in terms of half life
of the process. That is, the amount of time required for half of the
original sample to react.
For first order process:
t1/2 k =
In 2
k
=
0.693
k
Classical Example
A cobalt-60 nucleus decays with the emission of beta particle-gamma
rays with half life of 5.27 years:
60
27

Co
60
28
Ni

0
1
 
0
0

How much of a 3.42 mg sample remain 30.0 years
Solution
t1/2 =
Ln
Ao
A1
0.693
,
K
=
K =
0.693
t1l 2
=
0.693
5.27
= 0.131 yr
K t = 0.131 (30.0) = 3.93
Consider the inverse of two sides
Ao
 e3.93
A
 51
A

Ao

51
3.42
51

0.067 of Co – 60 = 0.067 mg.
3.3 Decay Mode and Energy
Radioactive decay involves a transition from a definite quantum state of
original nuclide to a definite quantum state of product nuclide. The
53
energy difference between the two quanta levels involved in the
transition correspond to what is known as decay energy. As for types of
radioactive radiation emitted, it is found that an electric or magnetic
field can split such emissions into three types of beams or sub-atomic
particles. They are alpha, beta, and gamma. While alpha decay is seen
only in heavier elements (atomic number 52, tellurium, and above), the
other two types of decay are seen in all of the elements. In analysing the
nature of the decay products, it is obvious from the direction of
electromagnetic forces produced upon the radiations by external
magnetic and electric fields that alpha rays carried a positive charge,
beta rays carried a negative charge, while gamma rays were neutral.
From the magnitude of deflection, it is shown that alpha particles are
much more massive than beta particles. Passing alpha particles through a
very thin glass window and trapping them in a discharge tube allowed
researchers to study the emission spectrum of the resulting gas, and
ultimately prove that alpha particles are helium nuclei. Other
experiments showed the similarity between classical beta radiation and
cathode rays: They are both streams of electrons. Likewise, gamma
radiation and X-rays are found to be similar high-energy
electromagnetic radiation. Although alpha, beta, and gamma were found
most commonly, there are other types of decay that are eventually
discovered. Shortly after the discovery of the positron in cosmic ray
products, it was realised that the same process that operates in classical
beta decay can also produce positrons (positron emission). In an
analogous process, instead of emitting positrons and neutrino, some
proton-rich nuclides were found to capture their own atomic electrons
(electron capture), and emit only a neutrino (and usually also a gamma
ray). Each of these types of decay involves the capture or emission of
nuclear electrons or positrons, and acts to move a nucleus toward the
ratio of neutrons to protons that have the least energy for a given total
number of nucleons (neutrons plus protons).
The mode of decay is dependent upon the particular type of nuclear
involved in the reaction (position of unstable nuclei). It is important to
remember that in radioactive decay, there are numbers of conservation
laws as mentioned in section 3.1 that must be valid for a true decay to
occur.
Consider the reaction
X1 + X 2
X3 + X 4
---------- y
where X represents nucleus or elementary particles. X1 and X2 may be
unstable nucleus and bombarding particles while X3 and X4 are products
formed. So for this general reaction (y) the following number of
conservation law holds.
54
CHM 406
a)
MODULE 3
The total energy of the system must be constant
E1 + E 2 = E3 + E 4
Where E include all forms of energy (kinetic and electrostatic energy)
b)
The linear momentum must be constant
P = MV
P1 + P2 = P3 + P4
E kin = P2 /z m
Note that
Where E kin is kinetic energy
c)
d)
e)
3.3.1
The total charge (proton + electron) of the system must be
constant
Z1 + Z2 = Z3 + Z4
The mass number of the system must be constant
A1 + A 2 = A 3 + A 4
MA = z m MH + NMn = 2.016 u
The angular momentum PI of the system must be conserved
(PI)1 + (PI)2 = (PI)3 + (PI)4
Alpha Decay (  )
An unstable nucleus undergoes alpha decay by emitting alpha particles.
Example:
238
92
U

34
90
Thi

4
2
He
Alpha particle cause extensive ionisation of matter. Alpha particles
interact with matter which may also cause molecular excitation thereby
resulting in fluorescence.
Alpha decay is observed for elements heavier than lead (Pb) and for a
few nuclear that are as light as Lanthanide (Ln). The decay energy can
be calculated from known atomic mass since binding energy
corresponds to a:
E = 931.5 ∆M
∆M = mass defect
Where ∆M = (Mz-2 + M He - Mz) i.e.
Change in mass = mass reactant – mass product
55
Beta Decay 
3.3.2
 decay is a spontaneous disintegration during which beta particles are
emitted or electrons captured. Radioactive beta decay is depicted as 
decay, it could be in any of the three forms; as electron emission  _
or 01 e , as position  + or 01 e or and as election capture (EC).
(a)
Electron emission  _ or 01 e :
Example:
14
6
Co

14
7
N

0
1
e
Energetic electrons cause ionisation and molecular excitation in matter,
although the effect is weaker and more difficult to detect than alpha
particle. Hence, there is need to amplify the effect for counting of
individual beta particles.
Example:
137
137
Cs
Ba +  _
(b) Electron capture (EC):
The EC decay process is written as
EC
A
Z
X

A
Z
X
 v.
The captured electron comes from one of the inner orbital of the atom.
Depending on the electron shell from which the electron originates, the
process is sometimes referred to as K-capture or L-capture electron. The
probability of capture of electron in higher shell decreases with quantum
number of shell. Therefore, the probable capture of e-from K-shell is far
greater than capture of e- from L shell
The calculation of decay energy in electron capture is given as:
QEC = - 931.5 (MZ- 1- Mz)
(c)
Positron decay  + or 01 e : In positron emission, a proton in an
unstable nucleus is converted to a neutron and a positron. The
neutron remain in the nucleus has positron is emitted.
Example:
24
13
56
Al

24
12
Mg 
0
1
e
CHM 406
3.3.4
MODULE 3
Gamma Ray Emission ( 00  )
The emission of gamma rays is always in company of emission of other
particles. It is the emission which occur where transition between energy
levels of same nucleus take place. Gamma rays are high energy
radiation, emitted when an unstable nucleus undergoes a rearrangement
of as constituent particles is give more stable, lower energy nucleus
gamma rays are often emitted along with other type of particles
Examples: i.
ii.
Tc

Tc

99m
43
99m
43
99
43
99
43
Tc
Tc



0
0
99
43
Tc 
0
0

Note that, because Tc is in unstable form; it quickly decays to emits 
ray and becomes stable. “mTc is metastable form of Tc. Note also that
pure gamma emitters are rare, but rather, the radiation accompanies
either on alpha or beta radiation.
3.4 Chain Reaction
A chemical reaction in which many molecules undergo chemical
reaction after one molecule becomes activated. It is a continuous process
in which either splitting of bigger molecules occur to generate daughter
nuclei and neutron or joining of smaller molecules occur to form big or a
new parent molecule, the chemical processes known as fission and
fusion respectively.
3.4.1
Nuclear Fission
Isotopes of unstable nuclei with atomic number greater than 80 are
capable of undergoing a nuclear reaction called nuclear fission, in which
they split into nuclei of intermediate masses and emit one or more
neutrons. The energy generated is called atomic energy. Some fission
reactions are spontaneous while some are not spontaneous; hence, the
non-spontaneous require activation energy from bombardment. A given
nucleus is split in many ways liberating enormous energy a typical
example is shown below.
57
160
62
146
57
235
92
144
55
144
55
144
54
Sm

La

U
1
0
Ba

Cs

Xe 
72
30
37
50
Zn  410 n  energy
Gr  310 n  energy
236
n  92
U
92
36
90
37
90
38
Kr  310 n  energy
Rb  2 10 n  energy
Cr  2 10 n  energy
The 236U is an intermediate nucleon and is short lived producing
fragment as shown above. Particles that can supply the required
activation energy include neutrons, protons, alpha particles and fast
electrons.
Experiment shows that when comparing the mass of original or starting
materials with that of product, there is a little reduction. This missing
mass has been converted into energy and is derived through Einstein
equation:
E = mc2.
Where E is the energy released, m is the loss mass and c is the speed of
light.
3.4.2
Nuclear Fusion
This is coming together of small nuclei to form heavy nucleus.
However, the fusion reaction require a temperature of about 1,
000,000,000oC to overcome the repulsion of Hydrogen nucleus, after
which they are forced to undergo fusion. Spectroscopic evidence shows
that sun is a tremendous fusing reactor consisting of 73% H, 26% He
and 1% other element. It is a major reactor that involves fusing of
deuterium, 12 H and tritium 13 H at high temperature.
2
1
H
3
1
H

4
2
He 
1
0
n  energy
3.5 Nuclear Fusion Reactor
In a fusion reactor, fusion reaction is controlled by injecting materials
that absorb some neutrons so as to prevent explosion. Hence, the energy
produced can be productively converted into heat source in a power
plant.
58
CHM 406
MODULE 3
There are various type of nuclear reactors, these include:
i.
ii.
Light water reactor
Breeder reactor.
3.6 Nature of Radiation
Although various electromagnetic rays and sub-atomic particles
involved in radioactivity have been mentioned in earlier in this course, it
is still necessary to reveal more about the nature of these radiations and
their properties. These radiations include; alpha particles, beta particles,
proton, neutron, gamma rays and positrons. Table 4.0 summarises
properties of some of the common radiations.
The penetrating capacities of particles and rays are proportional to their
energies. Particles such as positions are about 100 times more
penetrating than the heavier ones, like alpha particles. Beta particles can
be stopped by a inch trek (0.3cm) aluminum sheet. Beta particles can
pierce a skin but cannot touch internal organ.
Alpha particles have low penetrating ability, hence, cannot damage or
penetrate skin. However they can damage internal tissue if inhaled. The
high energy gamine rays have great penetrating power as severely
damage both skin as internal organ. They travel at a tie speed of high
and can only be stopped by timer layers of concrete or lead.
59
Table 4.0: Radioactive Emission and their Properties
Type
Identify Mass
(amu)
Charge Velocity
Penetration
Beta
(  ,10  0 e ) Electron
0.00055
moderate depending on energy
1-
≤ 90% speed light. Low to
Positron
( 01  ,  10 e ) Positively 0.00055
moderate depending on energy
1+
≤ 90% speed of light. Low to
2+
≤ 10% speed of light. Low
charged
electron.
Alpha
(  , 42 ,
4
2
He ) Helium
4.0021
nucleus.
Proton
( 11  , 11 H ) Proton,
moderate
≤ 10% speed of light. Low to
1.0073
1+
1.0087
0
≤ 10% speed of light.
0
0
Speeds of light.
Hydrogen
nucleus.
Neutron
( 10 n )
Very high
Neutron
Gamma
( 00  ) ray
high
High energy
electromagnetic
radiation such
as X- rays.
60
CHM 406
MODULE 3
SELF-ASSESSMENT EXERCISE
i.
ii.
iii.
iv.
Differentiate between K-capture and L-capture.
What do you understand by the terms fission and fusion?
Write briefly on the types of decay process you know.
Complete the following reaction and calculate the binding energy.
1
0
v.
n
1
U  131
50 Sn    20 n  energy
235
92
Give the properties of particles involved in decay process.
4.0 CONCLUSION
Radioactive decay is therefore a process of transformation of unstable
nuclei to stable form through emission of subatomic particles depending
on the position of the nucleus on the belt of stability. Fission and fusion
are nuclear reactions that involved splitting of heavy nucleus to form
light nuclei and coming together of small light nuclei to form heavy
nucleus respectively. There are of importance particularly in generating
heat energy which can be converted electrical energy.
5.0 SUMMARY
In this unit, you have learnt about:





the meaning of radioactive decay
kinetics of decay processes
the properties of various types of particles involved a decay
process
how to distinguish between nuclear fission and fusion are as well
as their importance
the nature and penetrating capacity of various particles.
6.0 TUTOR-MARKED ASSIGNMENT
i.
ii.
iii.
What is a chain reaction and why is nuclear fission process
considered as a chain reaction?
The half-life of 198 0 is 30 minutes. What fraction of the isotope
originally present would be left after 12 minutes?
The half-life of a sample is 203 minutes.
(a)
How long will it take 95% of the sample to decay?
(b)
How long will it take 99.5% of the sample to decay?
61
7.0 REFERENCES/FURTHER READING
Timberlake, K. & Timberlaka, W. (2008). Basic Chemistry. Boston:
Pearson Educational Inc. Pp. 524 – 538.
Choppin, G. R, Liljenzen J. & Rydbers, J. (2002). Radiochemistry and
Nuclear Chemistry. Woburn: Butterworth- Heinemann. Pp. 1 – 10.
May, J. (1989). The Greepeace Book of Nuclear Age. London: Victor
Golanoz Ltd.
62
CHM 406
MODULE 3
MODULE 2
Unit 1
Unit 2
NUCLEAR MODELS AND ENERGETIC OF
NUCLEAR REACTION
Nuclear Models
Energetic of Nuclear Radiation
UNIT 1
NUCLEAR MODELS
CONTENTS
1.0
2.0
3.0
4.0
5.0
6.0
7.0
Introduction
Objectives
Main Content
3.1
Nuclear Model: General Requirement
3.1.1 Some General Nuclear Properties
3.1.2 Quantitative Energy Level
3.1.3 The Nuclear Potential Well
3.1.4 Other Requirements (Properties)
3.2 The Single-Particle Shell Model
3.3 The Collective Nuclear Model
3.4 The Unified Model for Deforming Nuclei
Conclusion
Summary
Tutor-Marked Assignment
References/Further Reading
1.0
INTRODUCTION
Models are ways of explanation which scientists often used to convey
trends in observed behaviours of a particular object or concept.
Observed phenomena are used to develop models that are then tested
through experiments. It can then afterwards be used to predict the future
behavior of such object.
2.0
OBJECTIVES
At the end of this unit, you should be able to:





explain general concept of nuclear model
describe the principle upon which the models are built
explain the single particle sheet model
explain collective nuclei model
describe the unified model for defining model.
63
3.0 MAIN CONTENT
3.1 Nuclear Model: General Requirement
In the same way, quantised mode for the atom became the foundation
for explaining chemical properties of element and justifying their order
in the periodic system; patterns of nuclear stability, result of nuclear
reaction at spectroscopy of radiation emitted by nuclei have yield
information for the nucleus. In the nucleus, there are two types of
particles: proton and neutron packed closely together under the influence
of two major forces;
i.
ii.
Electrostatic force
Nuclear force
It is worthy to note that there are many suggestions or proposal on
models but no singular nuclear model has been able to explain all about
the nuclear phenomena.
3.1.1
Some General Nuclear Properties
It is observed that the binding energy per nucleon is almost constant for
the stable nuclei and that; the radius is proportional to the cube of the
mass number. This explains or justifies fairly uniform distribution of
charge and mass throughout the volume of the nucleus; it also supports
the assumption of existence of a strong short range nuclear force.
There is an indication too, that central mass number with Z or N-values
2, 8, 20, 28, 50 and 82 appear more stable. The other uniqueness of these
numbers is that if the capturing of neutron or the energy required to
release neutron is plotted for different parameters, it will be observed
that maxima occurs at these same neutron number just as maxima occur
for electronic ionisation energy of the element He, Ne, Ar, Kr, (electron
number 2,8,16,32). It shows that some kind of regular substructures
exist in the nucleus.
3.1.2
Quantitative Energy Level
The constituents’ substructure of neutron and proton with each type of
nuclear pairs off as far as possible. The  – emission from any particle
nucleus involves discrete value. It can then be concluded that decay,
radioactive nuclei, whether , , or  involves a transition between
discrete quantities energy level.
64
CHM 406
3.1.3
MODULE 3
The Nuclear Potential Well
Imagine a situation when a neutron of low kinetic energy approaches a
nucleus. Since the neutron is uncharged, it is not affected by the
columbic field of the nucleus; hence more are with no interaction until
it is close enough to empower the strong nuclear force. At this point,
the neutron experiences strong attraction to the nucleus and is absorbed.
When the neutron is absorbed, energy is released and emitted in the
form of a gamma- quantum. The energy of gamma  can be calculated
from the known masses of reactants and products nuclides E = -931.5
(M A+1-MA – Mn). The energy released is the (neutron) binding energy
of the nucleus. The total energy of the nucleus has thus decreased. This
decrease is called potential well. The exact shape of the well is
uncertain (parabolic or square) and depends on the mathematical form
assumed for the interaction between the incoming molecule and the
nucleus.
3.1.4
Other Requirements (Properties)
There are other properties such as the difference omission for proper
understanding of models. Presently, this include rotational energy and
angular momentum which is better defined by principal quantum
number (n) (which is related to the total energy of the system) and
azimuthal quantum number (l) (which is related to the rotational
movement of the nucleus). Coupling of spin and orbital angular
momentum are also important to the understanding of nucleus model.
Various models have been proposed; these shall be considered in the
next sub section.
3.2 The Single-Particle Shell Model
It is known that nucleus moves around freely in a nuclear potential well
which is spherically symmetric and that the energy of the nucleus varies
between potential and kinetic-like harmonic oscillation. For these
condition, the solution of the Schrödinger equation says € (nucleon) =
(2U0/m2)6[2(n-1) + l]
Where U0 = potential at radius of 20, and m = mass of the nucleus.
The following rules are valid in the potential well which forms the basis
to the model.
a.
b.
L can have all positive integers the value beginning with 0 and
independent of n
The energy of the l stage increases n
65
c.
d.
e.
f.
The nucleus enter the level with the lowest total energy
independent of whether n or l is the larger
There are independent sets of levels for proton and for neutron
The Pauli’s principle is valid (i.e.) the system can not contain two
particles with all quantum numbers by the same
The spin quantum number must be taken into account.
3.3 The Collective Nuclear Model
The single particle model assumes that the mass and the charge of the
nucleus are spherical. This is true only for nuclei that have distorted
shapes. The most common assumption about the description of the
nucleus shape is ellipsoidal i.e. cross section of the nucleus is an ellipse
Bohr and Mottelson suggested that the nucleus be regarded as a highly
compressed liquid undergoing rotation and vibration. Two discrete
collective motions can be visualised:


can imagine nucleus rotates around the y-axis as well as the x-axis
the nucleus may oscillate between prolate to oblate form
(irrotation) as well as vibrate.
Each model of such collective nucleus movement has its own quantised
energy. In addition the movement may be coupled. The model allows
calculation of rotational and vibration levels.
For example, if 238U is excited above its ground state through interaction
with high energy heavy ion (coulomb excitation). Three possible types
of excitation are known:
a.
b.
c.
Nucleus excitation in which quantum number (J) is charged to
raise the nucleus to a higher energy level.
Vibrational excitation in which case J is unchanged by the nucleus
and is raised to a higher vibrational level characterised by a
particular vibrational quantum number.
Rotational excitation, also characterised by a particular rotational
quantum number. It shows experimentally that rotational levels are
more closely spaced and thus transition between rotational levels
involves lower energies than de-excitation from excised nuclear or
vibrational state.
In the case of even-even nuclei, the rotational energy can be often
calculated for the simple expression:
€ rot= (€2/2Irot [n2(nr-1)
Where Irot is the moment of the inertia as nr to rational quantum number.
66
CHM 406
MODULE 3
The validity of this quantum depends on whatever the different modes of
motion can be treated independently or not which they can for strongly
deformed nuclei level 238U.
3.5 The Unified Model for Deforming Nuclei
The collective model gives good description of even-even nuclei, but
cannot account for discrepancy between observed spin and the spin
value expected from simple particles shell model. This unified model
concept has been developed on assumption that a nucleon shell freely in
a symmetrical. Potential well, a situation which is valid only for nuclei
near closed shells. The angular movement of a odd – odd defined
nucleus is due to both the rotational angular momentum of the deformed
core and to the angular momentum of the odd nucleon.
Consequently, the energy levels for such a nucleus are different, from
those of the symmetric shell models.
Sir S.G. Nilsson calculated odd nuclei: as a function of the nuclear
deformation. Each shell model level of angular momentum J split into
J +1/2 levels (Nilsson).
The Nilsson level are quite different in all characteristics from the shell
model state and their prediction of energy, angular momentum, quantum
number and other properties agreed better with experimental data for the
deformed nuclei than those of any other model.
4.0 CONCLUSION
Various models suggested are attempts to capture the trend in
observation of nucleus and its substructure constituents in relation to
linear, rotational and vibration motion and their equivalent energy
levels.
SELF-ASSESSMENT EXERCISE
i.
ii.
iii.
iv.
What do you understand by shell states force and nucleon force?
Describe any two named models you know.
Explain the meaning of the following terms:
a. Principal quantum number
b. Azimuthal quantum number.
What do you understand by potential well?
67
5.0
SUMMARY
In this unit, you have leant about the:





general concept of nuclear models
principle upon which the models are built
single particle sheet model
collective nuclei model
unified model for defining model.
6.0 TUTOR-MARKED ASSIGNMENT
i.
ii.
7.0
The observed quadruple moment of 59Co is 0.4 barn
(a) What is the deformation value  (b) What spin value is
expected from Nilsson diagram?
Compare and contrast collective nuclear model and the unified
model for deforming nuclei.
REFERENCES/FURTHER READING
Timberlake, K. & Timberlaka, W. (2008). Basic Chemistry. Boston:
Pearson Educational Inc. Pp. 524 – 538.
Choppin, G. R, Liljenzen J. & Rydbers, J. (2002). Radiochemistry and
Nuclear Chemistry. Woburn: Butterworth- Heinemann. Pp. 1 – 10.
May, J. (1989). The Greenpeace Book of Nuclear Age. London: Victor
Golanoz Ltd.
68
CHM 406
UNIT 2
MODULE 3
ENERGETICS OF NUCLEAR RADIATION
CONTENTS
1.0 Introduction
2.0 Objectives
3.0 Main Content
3.1 Conservation Laws in Nuclear Interaction
3.2 Conservation of Used Energy
3.3 The Mass Energy
3.4 Elastic Scattering
3.5 Inelastic Scattering
3.6 The Compound Nucleus Model
4.0 Conclusion
5.0 Summary
6.0 Tutor-Marked Assignment
7.0 References/Further Reading
1.0 INTRODUCTION
During a nuclear reaction between atomic nucleus and another atomic
particle, three different processes are possible. These are:
(a)
(b)
(c)
nuclear transmutation (in which new nucleus are formed)
inelastic scattering (in which original nucleus are exerted to a
higher energy state)
elastic scattering (in which the nucleus remain uncharged). The
mass and energy relationship projectiles interact with a nucleus are
brought to fore.
2.0 OBJECTIVES
At the end of this unit, you should be able to:



describe the mass-energy relationship when particles and nucleus
interact
explain the various conservation laws as they affect the nuclear
reactions
describe the forms of energy in the three main stages of nuclear
reaction.
69
3.0 MAIN CONTENT
3.1 Conservation Laws in Nuclear Interaction
All conservation laws are applicable in nuclear reactions, these laws are
the:
(a)
(b)
(c)
(d)
(e)
conservation of total energy ∆E = 0
conservation of the linear momentum ∆P = 0
conservation of total change ∆Z = 0
conservation of mass number ∆A = 0
conservation of spin ∆I = 0
D
Consider Figure 1.2:
Q1
A
C
B
Q2
E
Fig. 1.2: A Projectile showing collision between Objects A and B
M1
M3
V1
V3
M2
Mi
M4
V2=0
Vi
V4
This illustrates a projectile in which substance A collide with target
atom B, forming intermediate system C. The C system split into product
D and E. This is nuclear reaction V1 is > 0 but V2 is made to be zero.
3.2 Conservation of Used Energy
∆E = ∆E product - ∆E reactant = 0
Since the linear momentum is a vector quantity,
P1 + 0 = P3 Cos  - P4 Cos  4
P3 Sin  = P4 Sin  4
Note that some of the laws earlier stated ((d) and (e)) are not always
obeyed in high energy reactions in which new elementary particles may
70
CHM 406
MODULE 3
be found. Assuming that mass of the particle was independent of its
velocity the kinetic energy equation as deduced by Newton:
Ekin = ½ Mv2
3.3 The Mass Energy
For radioactive decay, the energy numeration is given by its Q value.
Q (MeV)
Where
=
-931.5 ∆mo
∆mo - Mo3 + Mo4 – Mio – M2o
If mass disappears in the reaction (∆Mo < 0) energy is released, then the
reaction is said to be exoergic and Q is positive.
For Q < 0 the reaction is endoergic as ∆Mo > 0
E kin = (m – mo)c2 can be separated to five terms if we define:
Eo mass = Mo c2 and
EKaf = Mc2
Then Etot = E kin + Eo mass
Note also that: Etot = E kin +
Epot
Hence: Etot = E kin + Eo mass = E kin +
Therefore;
Emass =
Epot
Epot
Where Ekin is translational, rotational, vibrational energy and Eo mass =
mass energy, Epot = gravitational, electrostatic energy, surface energy,
chemical binding energy etc.
To have a Etot that include atomic masses in their grounds state Eo
mass, the excitation energy of the nucleus above its ground state Eexc,
the absorption/emission of protons in the reaction Ev and c reaction
between charged particles, the electrostatic potential (Coulomb) energy
Ecol, the columb energy must be zero or positive (repulsive). The
incoming projective must possess enough kinetic energy to overcome
any repulsion. In the process of reaction of repulsion of charged
particles, product results in greater kinetic energy.
71
Etot
= 6rm + 6cone _ EoMeG + Exec + Er
3.4 Elastic scattering
The elastic scattering energy is exchanged between the projectile and the
target nucleus but the value of Q is zero. An important elastic scattering
reaction is a nuclear reactor involves the slowing down of neutrons from
kinetic energies, which they possess when emitted in nuclear fission.
The neutrons are slowed down to energies comparable to those of a
neutron of gas at the temperature of the material in which they are
moving, hence they are known as thermal neutrons.
Ekin = KT
Where Ekin is kinetic energy, T is temperature and K is the reaction
constant.
The process of slowing down of energetic neutron to low kinetic
energies is called moderation.
3.5 Inelastic Scattering
In this group of nuclear reaction called inelastic scattering, part of the
kinetic energy of the projectile is transferred to the target nucleus as
excitation energy without changing the values of A or Z of either target
or projectile . If the projectile is a heavy ion, it may also become excited.
However, the collision of the projectile and target nucleus forming the
product does result in a value of Q greater than zero.
a
X1 + X 2
b
-
X1 + X 2 +
X1 + X 2 *


The reaction path (a) indicates that the energy Q is emitted as a
ray.
In the reaction path (b), the Q is retained as excitation energy of the
target include.
In case of an inelastic scattering reaction of the formation of an isomer
of Ag by the irradiation of 107Ag with neutrons;
107
Ag (n, n′) ;
107
m Ag
107
Ag +

As an example of nuclear transmutation consider the following:
72
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14
7
N
MODULE 3
x
4
2
He 
M o  (m3
o
 F *
18
9
 m4
o

 m1
o
0 
17
18
1
H
 m2 )
o
mo ( 16.999131 + 1007325 - 14.003074 - 4.002603)
mo = 0.001279(u)
3.6 The Compound Nucleus Model
If Eo kn > Ecb, the attractive nuclear force dominate and the particles is
absorbed by the target nucleus. Assuming Q > 0, the Eomass decreases.
This means that, Eexe increases and the system is transformed into
excited compound nucleus.
Hence, the excitation of the compound nucleus is:
Eexe =
Q +EoKin
SELF-ASSESSMENT EXERCISE
i.
ii.
4.0
What is meaning of moderation
List all conservation laws that are applicable to nuclear reactions.
CONCLUSION
It is demonstrated enough that conservation laws are all applicable in
nuclear reactions. The total amounts of energy remains the same, but
keeps changing in the three main stages of nuclear reaction.
5.0
SUMMARY
In this unit, you have learnt that about:




the conservation laws and how they are applicable to nuclear
reaction
the three phases that make up the nuclear reaction
elastic scattering
inelastic scattering.
6.0
TUTOR-MARKED ASSIGNMENT
i.
ii.
iii.
Calculate the mass of an electron accelerated through a potential of
2 x 108V.
12
C atoms are used to irradiate 239Pu to produce an isotope of
berkelium. What is the coulomb barrier height?
Briefly explain the following:
73
a.
b.
c.
d.
7.0
Nuclear transmutation
Inelastic scattering
Elastic scattering
Thermal neutron.
REFERENCES/FURTHER READING
Timberlake, K. & Timberlaka, W. (2008). Basic Chemistry. Boston:
Pearson Educational Inc. Pp. 524 – 538.
Choppin, G. R, Liljenzen J. & Rydbers, J. (2002). Radiochemistry and
Nuclear Chemistry. Woburn: Butterworth- Heinemann. Pp. 1 – 10.
May, J. (1989). The Greenpeace Book of Nuclear Age. London: Victor
Golanoz Ltd.
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MODULE 3
MODULE 3
MEASUREMENT OF RADIOACTIVITY
Unit 1
Unit 2
Unit 3
Principle and Measurement of Radioactivity
Application of Radioactivity
Radiation Hazards
UNIT 1
PRINCIPLE AND MEASUREMENT OF
RADIOACTIVITY
CONTENTS
1.0
2.0
3.0
4.0
5.0
6.0
7.0
Introduction
Objectives
Main Content
3.1
Measurement of Radiation
3.2
Sample Preparation
3.2.1 Liquid Sample
3.2.2 Solid Sample
3.3
Qualitative and Quantitative Measurement
3.3.1 General Properties of Detector
3.4
Track Measurement
3.4.1 Cloud and Bubble Chambers
3.4.2 Solid State Nuclear Track Detector
3.5
Gas Counter 2
3.5.1 Geiger – Muller Counter
3.5.2 Ion Chamber
3.5.3 Proportional Counter
3.6
Scintillation Detector
3.6.1 Gas Scintillator
3.6.2 Liquid Scintillator
3.6.3 Solid Scintillator
Conclusion
Summary
Tutor-Marked Assignment
References/Further Reading
1.0
INTRODUCTION
There is need to device a mechanism that can accurately measure
(qualify and quantify) the radioactivity and its effects. This will affect
both application of the radioactivity and monitoring its hazards on man
and environment. Various types of equipment are employed in the
measurement of radioactivity and each makes use of different principles.
Each has its limitation which account for preference for others
75
2.0
OBJECTIVES
At the end of this unit, you should be able to:



explain the principle underlying the measurement of radiation
highlight the various methods and instrument used in measuring
radioactivity
state the limitations of those methods used in measuring
radioactivity.
3.0
MAIN CONTENT
3.1
Measurement of Radiation
There are so many techniques used for qualitative (detection) and
quantitative measurement of individual nuclear properties. This unit
discusses these along with the problems associated with the proper
sample preparation so as to achieve precision and accuracy.
3.2
Sample Preparation
Samples must be prepared with care and effort must be ensured that it is
reproducible if several samples case to be compared. Samples can be
prepared in either liquid or solid form.
3.2.1
Liquid Sample
In this form of samples, the emitters are included in the detection system
as it ensures high efficiency and reproducibility. Counting of alpha
particle and beta emitters are best achieved in liquid sample system.
3.2.2
Solid Sample
These sample techniques can be achieved in variety of ways such as
precipitation, evaporation, and electrolysis. The advantage of using solid
sample for counting is that, the sample can be made very robust and
small, allowing the use of either very simple counting system (e.g.
Gieger Muller counter) or the use of commercial counting system.
However, care must be taken to ensure uniform thickness solid media.
3.3
Qualitative and Quantitative Measurement
Various techniques and instruments are in vogue when it comes to doing
both qualitative (detection) and quantitative measurement.
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The detection and counting device are linked together, hence it is worthy
to mention that the qualitative and quantitative measurement go on
simultaneously.
3.3.1
General Properties of Detector
When a nuclear particle enters detector, it produces excitation and
ionisation, both of which can be used for detection. The excitation, if
followed by fluorescent de-excitation leads to emission of light which
can be registered by light sensitive devices such as photomultiplier tube
(PMT) which transform light into an elective current (i).
I=
Q
t
Electric change
Time
If the current passes through a resistor R, it will produce a voltage pulse.
V =
R
Q
t
The pulse is otherwise called signal which can then be quantified.
The following are the techniques and instruments which are commonly
used for the measurement of radioactivity.
3.4
Track Measurement
Tracks are formed by nuclear particles in cloud chambers, in solids and
in photographic emulsions. The track reveals individual nuclear
reactions and radioactive decay processes.
The tracks formed can be directly observed by naked eye in cloud and
bubble chambers. However, because of short life span of tracks, it is
important to have a permanent record through photography. Tracks
measurements are in various forms.
3.4.1
Cloud and Bubble Chambers
This was discovered in 1911. A chamber contains air saturated with
vapour. Particles emitted from radioactive substances ionise in air
chamber. On cooling to droplet of liquid, these ions condense, leading to
production of frog-like tracks which may be photographed.
77
3.4.2 Solid State Nuclear Track Detector (SSNTD)
The main types of SSNTD are photographic emulsion, crystals, glasses
and plastic. Because of high density, nuclear particle can read all KE in
these detectors. Nuclear emulsion is similar to optical photographic
emulsion. It is used commonly for  particle measurement.
3.5 Gas Counter
The principle of all gas filled counters in ion chambers. The ionisation
produced in ion chamber by a single particle is too low to be detected
except for alpha particles. However the ion formed are multiplied
greatly. Common forms of gas ionisation counter include:
3.5.1
Geiger – Muller Counter
Radiation enters the tube through a thin window. Geiger - Muller
counter can detect only  and 
radiations. Note that it is not
suitable for  particles because  particles cannot penetrate the wall of
window.
3.5.2
Ion Chamber
The ion chamber is a gas – filled space between two electrodes. The
electrodes may be two parallel plates have the in another design, cathode
act as hollow cylinder and anode acts as a thin wire in its center. The
chamber is designed for recording radiation reaching it from outside. It
is used to measure  particle or used to measure radioactive subparticles within it.
3.5.3
Proportional Counter
It is similar to ionisation chamber. The gas multiplication is a function
which varies with the applied voltage, and is constant at a given voltage.
The detector pulse output is directly proportional to the primary
ionisation. Hence, a proportional counter helps to distinguish  and 
particles and between identical particles of different energies, once
different form of primary ionisation are produced. This technique is also
used to detect neutrons.
3.6 Scintillation Detector
Scintillating counting technique was developed in 1908 by Rutherford
and Geiger as a reliable method of counting  particles by observing
visually the flashes of luminescence produced in a thin layer on ZnS by
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the  particle. Scintillation optical consist of scintillator or phosphor
optically coupled to a photomultiplier tube which produces a pulse of
electric current when light is transmitted to the tube from the scintillator.
Common forms of scintillator include: gas scintillator, liquid scintillator
and solid scintillator.
3.6.1
Gas Scintillator
Several high purity gases are useful scintillator notable N2, He, Ar, Kr
and Xe. Except for N2, much of the emitted light is in UV range.
Therefore, photomultiplier tube that is sensitive to UV must be used or a
wave – length shifting gas like N2 is added.
3.5.2
Liquid Scintillator
This has a wide use for routine measurement of  emitter and can be
used for  emitters. The sample is dissolved directly in liquid
scintillator solution and a light output measured by photomultiplier
tubes. Liquid scintillating counting offers several advantages when
measuring low energy  emitters compared to other detectors with
problems such as attenuation by detector window, self-absorption and
backscattering are avoided. However, introduction of sample into
scintillator medium often reduces the light output greatly, a phenomenon
known as quenching. The technique also measure  emitter.
3.6.3
Solid Scintillator
Various solid media are used in solid scintillating techniques. Solid
scintillator offers a great advantage in measuring virtually, all the
emitters. ZnS (Ag) is a traditional phosphor for  detection, while
anthrancene and stilbene can be used for  particles detector. NaI with
small amount of Tl (NaI(Ti) is a most common phosphor used in
measuring  rays.
4.0
CONCLUSION
Measuring radiations with accuracy and precision is of high importance.
Various known techniques and instruments with condition of use have
been highlighted. Techniques are selective in terms of the emitters they
detect and quantify.
79
5.0 SUMMARY
In this unit, you have learnt:




6.0
i.
ii.
iii.
iv.
v.
about qualitative and quantitative measurement
about the general properties of detector
various techniques and instrument used in measuring sub-atomic
particles
principle and condition underlying the use of various counting
system employed in measuring radioactivity.
TUTOR-MARKED ASSIGNMENT
Explain in detail the general conditions and properties of detector
used in measuring radioactivity.
What is quenching?
Write short note on scintillating techniques.
Geiger Muller tube remains a very good instrument
technique
in serving of radioactivity measurement. Discuss.
Explain what Track Measurement is.
7.0 REFERENCES/FURTHER READING
Timberlake, K. & Timberlaka, W. (2008). Basic Chemistry. Boston:
Pearson Educational Inc. Pp. 524 – 538.
Choppin, G. R, Liljenzen J. & Rydbers, J. (2002). Radiochemistry and
Nuclear Chemistry. Woburn: Butterworth- Heinemann. Pp. 1 – 10.
May, J. (1989). The Greenpeace Book of Nuclear Age. London: Victor
Golanoz Ltd.
80
CHM 406
UNIT 2
MODULE 3
APPLICATION OF RADIOACTIVITY
CONTENTS
1.0
2.0
3.0
4.0
5.0
6.0
7.0
Introduction
Objectives
Main Content
3.1
Use of Radionuclei in Archeology/Environment
3.2
Use of Radionuclei in Agriculture
3.3
Industrial Uses of Radionuclei
3.4
Medical Uses
3.5
Scientific Research
Conclusion
Summary
Tutor-Marked Assignment
References/Further Reading
1.0
INTRODUCTION
The modern world has come to witness application of radiation activity
of sub-atomic particles and electromagnetic rays in various spheres of
human life. This has contributed immensely to the improvement of
quality of life. Radionuclei have found application in archeological
research, agricultural practices, diagnosis, treatment of various diseases
condition and nuclear power reactor etc.
2.0
OBJECTIVES
At the end of this unit, you should be able to:




explain the application of radioactivity in archeological studies
state the importance of radioactivity to(medical) diagnosis and
treatment of diseases
highlight the principle behind using knowledge of radiation to
improve the agricultural practices
explain how application of radiation of sub-atomic particle helps
the nuclear power reaction.
3.0
MAIN CONTENT
3.1
Use of
Studies
Radionuclide in
Archeology/Environmental
Radiological dating is a technique by environmentalist, archeologist,
geologist and history to determine the age of artifact is it plants or
81
animals, such as wood, fibres, natural pigment bone and cotton. This is
done by measuring the amount of carbon - 14, a natural occurring
radioactive form of carbon.
The radioactive carbon – 14 is produced continuously in the upper
atmosphere as nitrogen atom captures cosmic ray neutrons.
14
7
N

1
0
n 
C 
14
6
The radioactive carbon dioxide
14
6
14
6
1
1
H
CO2 is produced from the reaction of
C with oxygen.
After death, plant uptake of
14
6
CO2 stops.
Carbon-14 undergoes beta decay, the amount of radioactive carbon in
the plant material decrease steadily:
14
6

C
14
7
N 
0
1
e
Researchers use half-life of carbon – 14 (5,730 years) to calculate the
length of time, an event (like death of plant take) place. The carbon – 14
techniques is useful only for dating objects less than 50,000 years old.
Older object can be analysed studied using K – Ar and U – Pb methods,
which are capable of analysing older object since K – 40, Ar – 40 has
half-life of 1.3 billion years. Through radiological dating, the age of
rocks brought back from the moon by the Apollo mission was found to
be about 4 x 10a year calculate approximately the age calculates for
earth.
Example
A piece of wood taken from a cave in New Mexico is found to have a
carbon-14 activity (per gram of carbon) only 0.636 times that of wood
cut today. What is the age of the wood? The half life of carbon-14 is
5730 years.
Solution from 1st order rate constant for 14C
0.693
T/2 =
K
K
82
=
0.693
t d /2
-
0.693
5730
= 1.21 x 10-4years
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MODULE 3
The present 4c active N, is 0.636 time to original activity
N= 0.630No
We substitute into first* order decay equation
 No 
 = Kt
 Nt 
 No 
Ln 
 =
 0.630 No 
Ln 
(1.21 x 10-4)t
Cancel No and solve it
 1 
 =
 0.636 
Ln 
(1.21 x 10-4 x t
T
=
3.74 x 103
3.2 Uses of Radioactivity in Agricultural Activities
The use of radiation of sub atomic particles to improve agricultural
practices is a major landmark in human endeavour. Absorption of
gamma rays helps in eliminating dangerous strain of Ecoherichia coli
bacteria particularly in red meat. The use of pesticide DDT has been
confirmed toxic, to human and animal that is repeatedly exposed to it.
This has been effectively replaced by a radiological technique. This is
used indirectly to sterilise the males’ larva producing no offspring. The
food item treated does not carry radioactive rays.
3.3
Industrial Uses
There are many application of radioactivity in industry and engineering.
It helps in industries when precision is of importance and required. The
flow of liquid or gas through a pipeline can be monitored by injection of
a sample containing a radioactive substance. Leaks in pipes can also be
detected easily, thereby preserving life.
3.4
Medical Uses
The use of nuclides as radioactive tracers in medicine has been globally
acknowledged. A radiation detector can be used to follow the path of the
element throughout the body system. Cobalt radiation treatment for
cancerous tumor is well known. Solution of Na is injected into
bloodstream to follow the flow of blood and locate obstruction to
circulatory system.
Thallium – 201 to technetium -99 have been used to survey damage
from heart disease. Iodine – 123 concentrate in the thyroid gland, liver
83
and certain part of the brain. This radioactive type is used to monitor
goiter and often thyroid problems.
3.5 Scientific Research
The pathway of clinical drug can be investigated using radioactive
tracers.
Using labelled radioactive compound like 14CO2 helps identify
intermediate molecules. Example is photosynthetic process. Labelled
14
CO2 helps tracing intermediate molecule.
Uranium - 235 is used in binding nuclear power plant includes nuclear
research as well as generating energy to drive industries.
SELF-ASSESSMENT EXERCISE
(i) What is meant by radioactive tracers?
(ii) Mention any hazard associated with the use of radioactivity in
treatment of agricultural products.
(iii) What are the uses of radionuclide in medical diagnosis?
4.0 CONCLUSION
Radioactivity indeed has come to many important roles in improving the
quality of life. It also helps in projecting quality future of well as
uncovering the possible medical breakthrough through of good research.
5.0 SUMMARY
In this unit, you have learnt:






the general application of radioactive
how to use radiation of isotope preserve agricultural product
how the knowledge of radioactivity helps in medical diagnosis and
treatment
how to use radioactivity in industry
the use of radioactivity in scientific research
how age of artifact is determined by the use of radioisotopes.
6.0
TUTOR-MARKED ASSIGNMENT
i.
If the amount of radioactive phosphorus in a sample decreases
from 1.5mg to 0.25mg in 28 days. What is the half-life of
phosphorus – 32?
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MODULE 3
(a)
(iii)
7.0
The half-life of radioactive decay of calcium -47 is 4.5
days. If a sample has an activity of 1.0  after 27 days,
what is the initial activity of the sample?
Explain various application of radioactivity in the following:
(a)
Medical practices
(b)
Dating of artifact
(c)
Scientific research
(d)
Industries
(e)
Agricultural practice.
REFERENCES/FURTHER READING
Timberlake, K. & Timberlaka, W. (2008). Basic Chemistry. Boston:
Pearson Educational Inc. Pp. 524 – 538.
Choppin, G. R, Liljenzen J. & Rydbers, J. (2002). Radiochemistry and
Nuclear Chemistry. Woburn: Butterworth- Heinemann. Pp. 1 – 10.
May, J. (1989). The Greenpeace Book of Nuclear Age. London: Victor
Golanoz Ltd.
85
UNIT 3
RADIATION HAZARDS
CONTENTS
1.0 Introduction
2.0 Objectives
3.0 Main Content
3.1 Exposure to Radiation
3.2 Radiation and Health Disorders
3.3 Management of Radioactive Waste
3.4 Protection Measure from Radiation Laboratory Work
3.5 Control of Radiation Protection Measure
4.0 Conclusion
5.0 Summary
6.0 Tutor-Marked Assignment
7.0 References/Further Reading
1.0
INTRODUCTION
Various application of radioactivity is indeed leading to quality
improvement in life, as discussed in Unit 2. However, this phenomenon
has potential of destroying the same life, it tends to protect. Hazards
associated with radiation are discussed in this unit.
2.0
OBJECTIVES
At the end of this unit, you should be able to:




describe about various sources of radiation exposure
discuss about the relationship between radiation and health
condition
discuss the management of hazardous nuclear waste
highlight the ways of protection from radiation exposure.
3.0 MAIN CONTENT
3.1 Exposure to Radiation
Human beings are in constant contact with at least low levels of
radiation from natural occurring radioactive isotopes in our homes,
office, food, water and air we breathe.
For instance, potassium 40 is present in all potassium containing food
14
1 C, radion-222, strontium-90 and iodine-181 are in various food and
air around man.
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Cosmic rays is another source of background radiation, people that
travel often in air stands the chance of receiving greater amount of
cosmic radiation because there are fewer molecules in atmosphere to
absorb he radiation.
Medical source of radiation are additional source of radiation exposures.
These include dental, X-ray, hip, spine and mammogram. Contact with
radiation during research also constitutes another major source. By
1992, approximate 100 radiologists had died of a result of biological
radiation damage. Table 6.0 shows average annual radiation receive in
U.S.A
Table 6.0:
U.S.A
Average Annual Radiation receives by a Person in
Natural
Medical
Others
Source
The ground
Air, water, food
Cosmic rays
Wood, concrete, break
Chest – ray
Dental- x ray
Mammogram
Hip x – ray
Lumbar some x-ray
Upper gastrointestinal X-ray
Television
Air travel
Radon
Dose (mrem)
20
30
40
50
20
20
40
60
70
200
20
10
200m
* Varies wisely
Mrem = milli radiation equivalent in man
3.2 Radiation and Health disorders
The biological effect of very large whole body doses leads to radiation
sickness and early death while large organ doses leads to local cell
destruction, and possibly organ death. Exposure to radiation greater than
100 rem (rem is the measure of radiation), the person may suffer the
symptoms of radiation sickness:
nausea, vomiting, fatigue and
reduction in white blood cell count. At dosage greater that 300 rem all
white blood cells get destroyed, the victim suffers diarrhea, hair loss and
other infection while at 500 rem, half of the population dies; hence it is
called LD50 (Lethal dose for one half the population). Table 7.0 shows
87
function LD50 for various life forms. Dosage above 600 leaves all
humans fatal within a week.
Table 7.0: Lethal Dose (LD50) for different Life Form
Life
Insect
Bacterium
Rat
Human
Dog
formD50 (rem)
100,000
50,000
800
500
300
* Radiation equivalent in human
The earth we live is drenched in radiation from cosmic sources and
mineral exploration from the ground. Therefore, the effects of the
natural radiation background has become an important health issue
particularly radon levels in houses. Also related closely to this is the
effect of man-made sources of similar low levels, such as nuclear waste.
Basically, when it comes to the effect of radiation on human cell, two
types of cells come into mind: those that directly involve in functioning
of the organ (e.g. bone marrow, liver, or the nervous system) and those
which are associated with reproductions. Radiation damages in the
former give rise to somatic effect such as cancer induction and to later, a
genetic effect.
Exposure to large dose radiation can occur by:
Accidental exposure e.g. Japan, Chernobyl: This exposure is said to
be stochastic because the harm caused is statistically distributed over the
exposed population. The frequency of tumor induction is observed to
increase linearly with the dose.
Deliberate exposures: these are deterministic because the damage is
caused intentionally to a certain organ or population. Such irradiations
are considered to have a threshold value, below which no effects occur.
3.3 Management of Radioactive Waste
Handling of radiation waste is a major source of radiation in the
community. Nuclear power system remains the cheapest, source of
power to drive industries and electricity, however, the hazard it
generates if the waste is not properly disposed is overwhelming.
Countries that involve in nuclear power generation dispose the nuclear
power waste through large water bodies such as ocean and seas.
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However, the hazardous effect from those waste only come back to man
with time, as shown in the Figure 1.3.
Lake/River
Deep Geologic
formation
Ocean
Soil
Sediment
Groundwater
Plants
Sewage/Plankton
Animals
Fish
Drinking water
Man
Food for man
Fig. 1.3: Fate of Hazardous Contaminants in an Ecosystem
Early 1990, the Environmental Pollution Agency gave its approval for
the storage of radioactive hazardous waste in chambers 2150 ft
underground. That was implemented in 1999 when waste isolation pilot
plant (WIPP) marked repository site in New Mexico to receive
plutonium waste from former U. S. Bomb factories.
However, despite the U.S authority assured the populace the safety of
such scheme, the mean of transporting such waste to site has been
another (problem) source of radiation, should the nuclear waste be
transported through the rail or by highway truck?
Another safer method of handling hazardous nuclear waste as proposed
in the wake of various criticism over dumping nuclear waste in either
deep sea or buried deep underground, include casting the nuclear waste
into ceramics to eliminate the possibility of waste dissolving in ground
water.
89
The encapsulated waste could then be deposited in underground salt
drone. Salt drones are located in geographically stable areas that has
held petroleum and compressed natural gas trapped for millions of years.
Another method involves storing long-lived radionuclide from spent fuel
underground in a heavy, shock – resistant container until they have
decayed to the point they are no longer biologically harmful. Example
include strontium - 90 (half-life = 28years) and plutonium – 298 (halflife = 24000 years) must be stored for 280 years and 240,000 years
respectively before they lose 99.9% activities. However the problem of
corrosion of container is another point the critics argued for picking
holes in the method.
3.4 Protective Measure from Radiation Laboratory Work
Three basic principles are recommended for keeping radiations exposure
to a minimum level; these are:
(i) Shielding
(ii) Control
(iii) Distance.
If a radiochemical laboratory is designed properly and the work is
performed in such a manner that the general background contamination
is sufficiently low so as to avoid low level tracer, then the health aspect
of radiation control are satisfied. The general principles are:
1.
2.
3.
4.
5.
6.
7.
special room/location is used for radioactive work
the airborne contamination must be prevented in the laboratory
the air velocity in the hood should never be below 0.5ms-1
limitation of radioactive work to a minimum area
the room should be equipped with alarm system to monitor hazards
such as interrupted water system
entering and leaving the f laboratory should be through air locked
and hand as well as feet must be sensored for radioactivity
shielded cells are used which helps to keep the pressure low than
that for the working pressure.
3.5 Control of Radiation Protection Measure
In larger organisations, protection of radiation measure three stages:
Prevention – This includes the use of devices such as fume hoods,
 boxes, radiation shielding, tongs etc.
(ii) Supervision stage involves the use of radiation instrument to
monitor radiation level. For instance, small TLD, film or pocket
pen dosimeter is used for individual monitoring. For spills and
(i)
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MODULE 3
contamination of hand and shoes, special contamination instrument
(counters) are used which are more sensitive than the monitoring
dose instrument.
The after control usually consists of checking personal dosimeter and a
medical examination. This may be depending on the type, and level of
work executed. The dosimeter may be checked, twice a week or a
month, while examination may be once or several times a year.
SELF-ASSESSMENT EXERCISE
i.
ii.
Discuss briefly what is meant by accidental exposure and
deliberate exposure to radiation.
What is LD50?
4.0 CONCLUSION
The use of radioactive isotope can indeed have negative consequences if
adequate steps are not taken into cognizance. The methods of nuclear
waste disposal remain a great source of radiation. However, shielding
oneself will go a long way in curbing individual exposure to the
radiation.
5.0 SUMMARY
In this unit, you have learnt about:





various ways through which man can be exposed to radiation
various health disorders that exposure of hazard radiation can
cause
types of exposure
how nuclear waste are being handled
methods of protecting radiation exposure.
6.0 TUTOR-MARKED ASSIGNMENT
i.
ii.
iii.
iv.
Briefly discuss the method involved in management of
radioactive waste.
Explain what is involved in protecting man and environment
from radiation exposure.
Certain diseases are direct or indirect consequences of radiation
exposure. Explain.
At radiation dosages beyond LD50, man stands the risk of
extinction. Discuss.
a.
What is radiation protective measure all about?
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7.0 REFERENCES/FURTHER READING
Timberlake, K. & Timberlaka, W. (2008). Basic Chemistry. Boston:
Pearson Educational Inc. Pp. 524 – 538.
Choppin, G. R, Liljenzen J. & Rydbers, J. (2002). Radiochemistry and
Nuclear Chemistry. Woburn: Butterworth- Heinemann. Pp. 1 – 10.
May, J. (1989). The Greenpeace Book of Nuclear Age. London: Victor
Golanoz Ltd.
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